CN111208386A - Power distribution network fault rapid positioning method adaptive to topology change and information error - Google Patents

Power distribution network fault rapid positioning method adaptive to topology change and information error Download PDF

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Publication number
CN111208386A
CN111208386A CN202010046310.2A CN202010046310A CN111208386A CN 111208386 A CN111208386 A CN 111208386A CN 202010046310 A CN202010046310 A CN 202010046310A CN 111208386 A CN111208386 A CN 111208386A
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matrix
switch
fault
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distribution network
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宋达
袁龙
谢才科
肖孝天
范俊秋
王嘉昊
宁楠
杨旭
赵维兴
谢威
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Guizhou Power Grid Co Ltd
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Guian Power Supply Bureau of Guizhou Power Grid Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/088Aspects of digital computing
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/081Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/086Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors

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Abstract

The invention relates to a power distribution network fault rapid positioning method adapting to topology change and information errors, which comprises the following steps: 10) establishing a device element-switch static incidence matrix; 20) collecting position state information of a switch to form a switch state matrix; 30) establishing a device element-switch dynamic incidence matrix; 40) collecting over-current information of a local switch to form a switch over-current information matrix; 50) calculating a fault equipment element positioning matrix to form a fault positioning result output matrix; 52) establishing an over-current information check matrix Q1×m(ii) a 53) Calculating an overcurrent information check matrix Q and forming an overcurrent information check result output matrix T; 54) and judging whether the matrix B has error information or not, and outputting a fault positioning result. The invention discloses a power distribution network fault rapid positioning method adaptive to topology change and information errors, and provides a method for realizing rapid positioning of power distribution network faults based on an equipment element-switch incidence matrix and a switch overcurrent information matrix.

Description

Power distribution network fault rapid positioning method adaptive to topology change and information error
Technical Field
The invention relates to the field of a method for quickly and accurately positioning a power distribution network fault, in particular to a method for quickly positioning a power distribution network fault, which is suitable for topological change and information errors.
Background
The power distribution network is used as a tail end link of a power system, is directly connected with a large number of power utilization customers, and is a key link for guaranteeing power supply safety and reliability and improving power service quality of a power grid enterprise. When the power distribution network breaks down, the fault area is accurately positioned, the important engineering significance is achieved for the follow-up work of quickly isolating the fault area, timely recovering power supply in a sound area and the like, the power interruption time can be effectively shortened, the power supply reliability of the power distribution network is remarkably improved, and the continuous power supply is guaranteed.
In recent years, with the rapid development of clean renewable energy sources, a large number of distributed power sources are actively connected to a power distribution network, the power distribution network gradually evolves from a traditional radial network and a passive power supply mode to an annular network and an active power supply mode, new characteristics of indeterminate trend, variable operation modes and variable topological structures are presented, and in addition, the surrounding environment is increasingly complex, the probability of faults or multiple faults of the power distribution network is increased, the uncertainty of fault information is increased, how to rapidly and accurately realize fault location of the power distribution network by utilizing the fault information so as to further realize rapid isolation of a fault area and timely recovery of power supply in a sound area becomes a research hotspot for improving the reliability of power supply of the power distribution network.
At present, a large number of achievements emerge in research aiming at a fault positioning method of a power distribution network, and the results are roughly divided into two types: firstly, the fault information of the power distribution network is analyzed and mined by using artificial intelligence algorithms such as machine learning, a neural network, a Petri network and a Bayesian network, the fault area is further positioned by using a minimum fault set or a state approaching idea, the fault can be accurately positioned under the conditions of information errors and the like, and the fault-tolerant performance is good; and secondly, converting the fault location problem into a global optimal solution problem by using an improved matrix operation and an optimization algorithm and combining mathematical models such as linear integer programming and judgment auxiliary factors, namely acquiring a suspicious fault equipment element set under the condition of information error or missing, and searching for the fault equipment element by traversing the suspicious fault equipment element set and using a method for solving the optimal solution, so that the method has the advantages of simple modeling process, clear solution thought and the like.
The existing power distribution network fault positioning method mainly has the following defects:
1. the power distribution network fault positioning method based on various intelligent algorithms can realize reliable positioning of faults under the conditions of information errors, information loss and the like to a certain extent, and has good fault tolerance. Generally, for a power distribution network with a large network topology scale, the requirements on the solving iteration times or learning times and samples of an intelligent algorithm are high;
2. for the fault positioning method based on the improved matrix operation and the optimization algorithm, the mathematical model is only for the fixed network topology, when the network topology changes, the mathematical model needs to be modified again, the universality is not strong, the solving process of the optimization algorithm is complex, for the power distribution network with the complex network topology, the solved suspicious fault equipment element set may contain a plurality of elements, different combinations of the suspicious fault equipment elements need to be repeatedly calculated and verified, and the calculation amount is large.
Disclosure of Invention
The invention provides a power distribution network fault rapid positioning method adapting to topology change and information error in order to overcome the problems, and provides a power distribution network fault rapid positioning method based on an equipment element-switch incidence matrix and a switch overcurrent information matrix; further provided is a method for identifying and correcting the wrong overcurrent information by utilizing the correlation matrix of the equipment element-switch and the fault positioning result matrix.
The technical scheme adopted by the invention for solving the technical problems is as follows: a power distribution network fault rapid positioning method adapting to topology change and information errors comprises the following steps: 10) establishing a device element-switch static association matrix G according to a static physical network structure of a power distribution networkn×mThe method is used for describing the static physical connection condition of the equipment elements and the switches, wherein n is the number of the equipment elements, and m is the number of the switches:
Figure BDA0002369522890000021
20) collecting switch position state information acquired by FTU through wide area communication network to form switch state matrix E1×m
Figure BDA0002369522890000022
30) Establishing a device element-switch dynamic correlation matrix Dn×mUpdating the dynamic network topology of the power distribution network in real time, and describing the real-time connection condition of the equipment element and the switch;
D=G×diag(E) (3)
in the formula, diag is generated into a diagonal matrix operation;
40) each FTU collects the over-current information of the local switch and uploads the over-current information to the automatic substation to form a switch over-current information matrix B1×mDescribing whether each switch detects an over-current condition;
Figure BDA0002369522890000031
50) calculating a faulty device element location matrix P1×n
P=D×B (5)
51) Traversing the fault equipment element positioning matrix P to form fault positioningResult output matrix C1×n
Figure BDA0002369522890000032
52) Traversing all columns of the matrix D, and deleting columns with all 0 elements to form a matrix H;
establishing an over-current information check matrix Q1×mThe value is calculated according to equation (7).
Q=|H-1|×C (7)
53) Calculating an over-current information check matrix Q, and forming an over-current information check result output matrix T, a side-to-side matrix B and all elements of the matrix T;
54) judging whether the matrix B has error information, if T is equal to B, then the fault location is accurate, and outputting a fault location result; if T ≠ B, then traverse matrices T and B, modify matrix B, and return to step 50).
Preferably, the topology structure of the power distribution network is a communication network composed of a plurality of switches, equipment elements and the like, wherein the switches comprise circuit breakers, interconnection switches and load switches, and the equipment elements comprise lines and buses.
Preferably, in the formula 1),
Figure BDA0002369522890000033
preferably, in equation 3), diag is a diagonal matrix generation operation.
The invention has the beneficial effects that: a distribution network fault rapid positioning method adapting to topology change and information errors is characterized in that firstly, starting from a distribution network topology, an equipment element-switch static association matrix is established to describe the static network topology of the whole distribution network, an equipment element-switch dynamic association matrix is formed according to position state information of a switch, and topology change of the distribution network is tracked in real time; when the power distribution network has a fault, the overcurrent information sets uploaded by the switches are utilized to realize the quick and accurate positioning of the fault equipment elements; the over-current information check matrix is calculated by using the positioning result of the fault equipment element, the wrong over-current information is identified and corrected, and the fault positioning is carried out again, so that the accuracy of the fault positioning of the power distribution network can be effectively improved. The method can be well adapted to the dynamic change of the network topology of the power distribution network, timely identifies and corrects wrong overcurrent information, effectively improves the accuracy and fault tolerance of the fault location of the power distribution network, and has the advantages of simple mathematical model, rapid solving process, small calculated amount and the like.
Drawings
The invention is further illustrated with reference to the following figures and examples.
FIG. 1 is a schematic of the topology of a power distribution network of the present invention;
FIG. 2 is a general architectural diagram of the hardware deployment of the present invention;
fig. 3 is a schematic structural diagram of the overall fault location implementation process … in the present invention.
Detailed Description
The present invention will now be described in further detail with reference to the accompanying drawings. These drawings are simplified schematic views illustrating only the basic structure of the present invention in a schematic manner, and thus show only the constitution related to the present invention.
As shown in fig. 1, the topology of the power distribution network can be abstracted into a connected network composed of a plurality of switches and equipment elements according to the basic knowledge of graph theory, wherein the switches include circuit breakers, tie switches, load switches, and the like, and the equipment elements include lines, buses, and the like.
For describing the network topology of the distribution network, a device element-switch static association matrix G is establishedn×mAnd as shown in formula (1), the method is used for describing the static physical connection condition of the device elements and the switches, wherein n is the number of the device elements, and m is the number of the switches.
Figure BDA0002369522890000041
In the formula (I), the compound is shown in the specification,
Figure BDA0002369522890000042
establishing a switch position state matrix E1×mThe value is shown in formula (2).
Figure BDA0002369522890000043
Establishing a device element-switch dynamic correlation matrix Dn×mAnd calculating the value according to the formula (3), and tracking the topological change of the power distribution network in real time according to the position state of the switch.
D=G×diag(E) (3)
In the formula, diag is generated as a diagonal matrix operation.
Distribution network fault location, typically when one or more equipment components of the distribution network fail, one or more switches will detect an overcurrent and act to trip to quickly remove the fault, as shown in figure 1, when the line L is on the distribution network4When a fault occurs, the switches S1, S2, S3 and S4 all detect overcurrent and act to trip, and the other switches do not detect overcurrent and do not act to trip, in this case, how to realize the fast and accurate positioning of the fault area by using the information combination of whether each switch detects overcurrent or not has an important role in further realizing the fast isolation of the fault area and the timely restoration of power supply in the sound area.
Establishing an over-current information matrix B1×mAnd the value of the over-current detection condition is shown as formula (4) for describing whether each switch detects over-current.
Figure BDA0002369522890000051
Establishing a faulty device element location matrix P1×nThe value is calculated according to equation (5).
P=D×B (5)
Go through all elements of the matrix P if P1×iAnd if the number of the equipment elements is 1, the corresponding ith equipment element is a fault equipment element, otherwise, the ith equipment element is a non-fault equipment element.
Establishing a fault positioning result output matrix C1×nThe value is calculated according to equation (6).
Figure BDA0002369522890000052
During actual engineering operation, all switches are dispersedly installed outdoors with severe environment, the possibility that detected overcurrent information is distorted or lost due to communication error codes, abnormal processing and the like in the transmission, processing and other processes is high, so that the overcurrent information matrix B has wrong information, the positioning failure of a fault section is easily caused, the subsequent fault area isolation and the recovery power supply of a sound area are influenced, for example, a line L4A fault occurs, and normally, the overcurrent information matrix B is ═ 1,1,1,1,0,0,0,0,0,0]But due to switch S2The uploaded overcurrent information is distorted, so that an overcurrent information matrix B is [1,0,1,1,0,0,0,0,0,0]Resulting in the fault locating result being line L1,L2And L4And when a fault occurs, fault positioning fails. For this purpose, the accuracy of the overcurrent information is checked.
And traversing all columns of the matrix D, and deleting the columns with the elements of all 0 to form a matrix H.
Establishing an over-current information check matrix Q1×mThe value is calculated according to equation (7).
Q=|H-1|×C (7)
Go through all elements of the matrix Q if Q1×iNot equal to 0, it means that for the fault location result output matrix C, the ith switch should detect the over-current information, otherwise the ith switch should not detect the over-current information.
Establishing an output matrix T of over-current information check results1×mThe matrix T is formed according to equation (8).
Figure BDA0002369522890000061
And (3) checking whether the overcurrent information matrix B has error overcurrent information:
①, if T is equal to B, the overcurrent information matrix B of the switch has no error information, and the fault positioning result is accurate.
②, if T ≠ B, then there is error information in the overcurrent information matrix B of the switch, and the fault location result is wrong, then step ③ is performed to identify and correct the error of the elements of the matrix B, and the fault location is performed again.
③ comparing matrix B with matrix T if Bi≠tiIf the corresponding over-current information of the ith switch is error information, the over-current information b of the ith switch is determinediThe logical inversion is performed.
The method realizes a flow, as shown in fig. 2, with the rapid advance of the automatic construction process of the distribution network, a large number of automation devices such as Feeder Terminal Units (FTUs) are gradually and widely applied to the distribution network, as shown in fig. 2, the FTUs are configured at each switch, and are responsible for dynamically acquiring the operation information of each important node of the distribution network in real time, including information such as voltage and current analog quantity, switch state quantity, switch action quantity and the like, and uploading the operation information to the distribution network automation substation through the wide area communication network. The distribution network automation substation can acquire the operation information of each switch, quickly and accurately position a fault area, and further realize tasks such as fault area isolation and power restoration in a sound area.
The overall fault location implementation process is shown in fig. 3, the whole fault location method is completed in the distribution network automation substation, and the FTU is responsible for collecting the position state information and the overcurrent information of the switch and transmitting the information to the distribution network automation substation through the wide area communication network:
1) the distribution network automation substation firstly establishes an equipment element-switch static correlation matrix G according to a static physical network structure of a distribution network, collects switch position state information acquired by an FTU through a wide area communication network to form a switch state matrix E, forms an equipment element-switch dynamic correlation matrix D based on the switch position state information, updates the dynamic network topology of the distribution network in real time and describes the real-time connection condition of equipment elements and switches.
2) When a fault occurs, each FTU acquires over-current information of a local switch and uploads the over-current information to the automatic substation to form a switch over-current information matrix B, a fault equipment element positioning matrix P is calculated by using the matrix D, then all elements of P are traversed, and if P is the fault equipment element positioning matrix P1×iAnd (1), the corresponding ith equipment element is a fault equipment element, otherwise, the ith equipment element is a non-fault equipment element, and the fault equipment element is positioned.
3) Traversing a fault equipment element positioning matrix P to form a fault positioning result output matrix C, forming a matrix H according to an equipment element-switch dynamic association matrix D, calculating an overcurrent information check matrix Q, forming an overcurrent information check result output matrix T, judging whether error information exists in the matrix B and correcting all elements of the matrix B and the matrix T, and then carrying out fault positioning again until T is equal to B.
Starting from a power distribution network topology, establishing an equipment element-switch static association matrix to describe the static network topology of the whole power distribution network, forming an equipment element-switch dynamic association matrix according to position state information of a switch, and tracking topology change of the power distribution network in real time; when the power distribution network has a fault, the overcurrent information sets uploaded by the switches are utilized to realize the quick and accurate positioning of the fault equipment elements; the over-current information check matrix is calculated by using the positioning result of the fault equipment element, the wrong over-current information is identified and corrected, and the fault positioning is carried out again, so that the accuracy of the fault positioning of the power distribution network can be effectively improved.
The method for rapidly positioning the power distribution network fault adaptive to the topology change and the information error can be well adaptive to the dynamic change of the power distribution network topology, identify and correct wrong overcurrent information in time, accurately position the fault under the conditions of the topology change, the information error and the like, effectively improve the accuracy and fault tolerance of the power distribution network fault positioning, and has the advantages of simple mathematical model, rapid solving process, small calculated amount and the like.
In light of the foregoing description of the preferred embodiment of the present invention, many modifications and variations will be apparent to those skilled in the art without departing from the spirit and scope of the invention. The technical scope of the present invention is not limited to the content of the specification, and must be determined according to the scope of the claims.

Claims (4)

1. A power distribution network fault rapid positioning method adapting to topology change and information errors is characterized by comprising the following steps: 10) establishing a device element-switch static association matrix G according to a static physical network structure of a power distribution networkn×mThe method is used for describing the static physical connection condition of the equipment elements and the switches, wherein n is the number of the equipment elements, and m is the number of the switches:
Figure FDA0002369522880000011
20) collecting switch position state information acquired by FTU through wide area communication network to form switch state matrix E1×m
Figure FDA0002369522880000012
30) Establishing a device element-switch dynamic correlation matrix Dn×mUpdating the dynamic network topology of the power distribution network in real time, and describing the real-time connection condition of the equipment element and the switch;
D=G×diag(E) (3)
40) each FTU collects the over-current information of the local switch and uploads the over-current information to the automatic substation to form a switch over-current information matrix B1×mDescribing whether each switch detects an over-current condition;
Figure FDA0002369522880000013
50) calculating a faulty device element location matrix P1×n
P=D×B (5)
51) Traversing the fault equipment element positioning matrix P to form a fault positioning result output matrix C1×n
Figure FDA0002369522880000014
52) Traversing all columns of the matrix D, and deleting columns with all 0 elements to form a matrix H;
establishing an over-current information check matrix Q1×mThe value is calculated according to equation (7).
Q=|H-1|×C (7)
53) Calculating an over-current information check matrix Q, and forming an over-current information check result output matrix T, a side-to-side matrix B and all elements of the matrix T;
54) judging whether the matrix B has error information, if T is equal to B, then the fault location is accurate, and outputting a fault location result; if T ≠ B, then traverse matrices T and B, modify matrix B, and return to step 50).
2. The method for rapidly positioning the faults of the power distribution network, adapting to the topology change and the information errors, according to claim 1, wherein the topology structure of the power distribution network is a communication network composed of a plurality of switches and equipment elements, and the like, wherein the switches comprise circuit breakers, interconnection switches and load switches, and the equipment elements comprise lines and buses.
3. The method for rapidly locating the fault of the power distribution network adapting to the topology change and the information error according to claim 2, wherein in the formula 1),
Figure FDA0002369522880000021
4. the method for rapidly positioning the power distribution network fault adapting to the topology change and the information error as recited in claim 3, wherein in the formula 3), diag is a diagonal matrix generation operation.
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